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90147487460 = 225173723929983
BaseRepresentation
bin101001111110100110…
…1010111111011100100
322121200112101211212212
41103331031113323210
52434110224044320
6105225125302552
76340640000102
oct1237515277344
9277615354785
1090147487460
113525a9a7658
121557a264a58
138668551674
144512730c72
1525292b19c5
hex14fd357ee4

90147487460 has 96 divisors (see below), whose sum is σ = 206731284480. Its totient is φ = 32881379328.

The previous prime is 90147487453. The next prime is 90147487489. The reversal of 90147487460 is 6478474109.

It is a junction number, because it is equal to n+sod(n) for n = 90147487399 and 90147487408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2991629 + ... + 3021611.

It is an arithmetic number, because the mean of its divisors is an integer number (2153450880).

Almost surely, 290147487460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90147487460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103365642240).

90147487460 is an abundant number, since it is smaller than the sum of its proper divisors (116583797020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90147487460 is a wasteful number, since it uses less digits than its factorization.

90147487460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30285 (or 30283 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 90147487460 in words is "ninety billion, one hundred forty-seven million, four hundred eighty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 239 340 370 478 629 740 956 1195 1258 2390 2516 3145 4063 4780 6290 8126 8843 12580 16252 17686 20315 29983 35372 40630 44215 59966 81260 88430 119932 149915 150331 176860 299830 300662 509711 599660 601324 751655 1019422 1109371 1503310 2038844 2218742 2548555 3006620 4437484 5097110 5546855 7165937 10194220 11093710 14331874 18859307 22187420 28663748 35829685 37718614 71659370 75437228 94296535 121820929 143318740 188593070 243641858 265139669 377186140 487283716 530279338 609104645 1060558676 1218209290 1325698345 2436418580 2651396690 4507374373 5302793380 9014748746 18029497492 22536871865 45073743730 90147487460